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Finding the Fourth Proportional to 344.72, 516.95 and 139.39

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Solution

The fourth proportional to 344.72, 516.95 and 139.39 is: 209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.72 : 516.95 = 139.39 : x
  2. Step 2: Convert to fraction form
    344.72/516.95 = 139.39/x
  3. Step 3: Cross multiply
    344.72x = 516.95 × 139.39
  4. Step 4: Simplify right side
    344.72x = 72,054.38
  5. Step 5: Solve for x
    x = 72,054.38/344.72
  6. Step 6: Final answer
    x = 209.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.